Ariyawansa, K. A. ``Ari'' [Mathematical Programming, Operations Research, High Performance Computing, Applied Statistics, Applied Mathematics] His research interests are in theoretical, algorithmic, applicational and software aspects of mathematical programming, optimization and operations research. He is also interested in applied statistics and applied mathematics.
Cooper, Sandra [Rational Approximation, Continued Fractions] Mathematics research interest in rational approximation with an emphasis on orthogonal Laurent polynomials and continued fractions. Other research interests are math, science, and engineering education with a particular focus on gender, race, and ethnicity issues.
DeTemple, Duane [Combinatorial Geometry, Graph Theory, Elementary Geometry, Mathematics Education] His research interests are in combinatorial geometry, graph theory and mathematics education.
Dillon, Robert [Mathematical Modeling, Mathematical Biology, Numerical Partial Differential Equations, Computational Biofluids] He is interested in developing mathematical and computational models of biological and environmental systems as well as numerical methods for the partial differential equations associated with these models. He is currently studying fluid-elastic problems in biofluids with moving boundaries. These include models of bacterial motility, chemotaxis and aggregation, of ciliated and flagellated movement and models of vertebrate limb bud outgrowth.
Genz, Alan [Numerical Integration, Multiple Integrals, Statistical Analysis] His primary research interest is the numerical computation of multiple integrals, especially those arising in statistical analysis. He has studied the parallel implementation of various algorithms and has developed a faster algorithm for the numerical evaluation of the multivariate normal distribution function. He also has interests in related problems that arise in multivariate approximation theory.
Gomulkiewicz, Richard [Mathematical Population Genetics, Mathematical Modeling, Dynamical Systems] His research involves the development and analysis of mathematical models that describe the population-level responses of species facing novel or altered environments, the evolution of environmentally sensitive traits, and the evolution of sexually selected traits and mating preferences. He is also interested in developing mathematical tools for applied biology.
Hudelson, Matt [Combinatorics and Discrete Geometry, Random Algorithms] The focus of his current research is in probabilistic approaches to geometric and combinatorial problems. He continues to investigate methods for maximizing the content of a j-simplex bounded by the unit d-cube. He is also currently interested in questions concerning random walks on graphs.
Jacroux, Michael [Experimental Design, Spatial Statistics] Research interests include the development of optimal and robust experimental designs for estimates in linear, nonlinear and spatial statistical models.
Jandhyala, Krishna [Change-Point Problems, Industrial Applications] His research is in solving Change-Point problems that deal with statistical inference of models where changes in parameters might occur at unknown times.
Kallaher, Michael [Combinatorics and Finite Geometry, Translation Planes, Block Designs] His research interests are in the areas of combinatorics and finite geometry. In particular, he is interested in obtaining ``reasonable'' classification of finite translation planes that arise in block design problems and coding theory. Recently, he has started studying affine planes, which are more general than translation planes.
Khapalov, Alexander [Applied Analysis] He is interested in control theory of semilinear partial differential equations. He is also interested in control and stabilization of bilinear and nonlinear ODEs.
Krishnamoorthy, Bala [Integer Programming, Linear Programming, Operations Research, Bioinformatics, Computational Biology] His main interests are in theoretical and computational aspects of integer programming and combinatorial optimization. He also works on problems from bioinformatics and computational biology especially related to structure and geometry of proteins. He is interested in finding potential applications of operations research techniques in the areas of computational biology.
Li, Haijun [Stochastic Ordering, Reliability Theory, Applied Probability] Current research in stochastic convexity, comparison methods for stochastic processes, aging properties of first passage times for Markov processes, and multivariate distributions with given marginals, and applications of the above topics in reliability and queuing theory.
Manoranjan, V. S. ``Mano'' [Environmental Problems, Industrial Applications, Mathematical and Computer Modeling] His research involves carrying out mathematical and computer modeling of nonlinear phenomena that arise in engineering and life sciences. In particular, he is interested in problems such as contaminant transport in ground water, transdermal drug delivery, tumor growth models and robotics. He also has interests in computational linear algebra and especially in developing efficient numerical techniques suitable for parallel computing.
McDonald, Judith [Matrix Analysis] Her primary research area is matrix analysis. Her work currently focuses in four areas: the inverse eigenvalue problem, eventually nonnegative matrices, M-matrices, and complex ray patterns.
Mifflin, Robert [Operations Research, Optimal Design and Operation of Man-Machine Systems] He is interested in developing efficient computational methods for solving applied optimization problems defined with constraints on the problem variables and/or nonsmooth functions of the variables. Also, he is working on developing decomposition and dual techniques for solving optimal allocation of resource problems that have large numbers of decision variables and/or resource constraints.
Panchenko, Alexander [Homogenization in Partial Differential Equations with Application to Materials Science, Accoustics of Porous Media and Granular Materials, Inverse Problems for Elliptic Equations, Mathematical Tomography] He is interested in network approximation for effective parameters of concentrated suspensions, homogenization of unconsolidated composites and media with moving interfaces, modeling of osteoporosis and blood circulation, and inverse conductivity problem with rough conductivities.
Pascual, Francis [Reliability, Experimental Design] His current research is in experimental designs that are robust to model misspecification and designs for model discrimination. Other research interests include correct selection problems and multiple comparisons in logistic regression.
Pate, Edward [Muscle Physiology, Mathematical and Experimental Models] His research is in muscle physiology, especially in constructing mathematical models that are guided by experimental findings.
Schumaker, Mark [Mathematical Modeling, Ion Channels] His research is concerned with mechanisms for transport through ion channels. Currently, the major focus is on models, which incorporate information from molecular dynamics. The major mathematical questions involved in this work concern the relationship between boundary conditions of diffusion processes and the boundary behavior of the underlying trajectories.
Tsatsomeros, Michael [Applied and numerical linear algebra, Control systems] His research interests include matrix analysis, applied linear algebra with current emphasis on nonnegative matrix theory and generalizations, numerical range of matrix polynomials.
Watkins, David [Computational Mathematics, Eigenvalue Problems] He has research interests in computational linear algebra and scientific computing with special emphasis on eigenvalue problems.
Webb, William [Number Theory and Combinatorics, Cryptography] The general areas of his research are number theory and combinatorics. He has special interests in fair division, recurrence sequences, binomial and generalized binomial coefficients and polynomials over finite fields. Also, he is interested in the application of these concepts in cryptography.
Wollkind, David [Mathematical Modeling, Natural Science and Engineering Applications] His research activities are primarily concerned with modeling phenomena from the natural and engineering sciences by means of mathematical methods. The problems of special interest are solidification of metals and alloys, convection of fluids and aerosols, folding of sedimentary rock multi-layers, development of stars in the outer arms of spiral galaxies, dynamics of predator-prey biological control interactions and the occurrence of Turing structures in chemical reaction-diffusion systems. The main emphasis in all these investigations is to compare mathematical predictions with experimental or observational data.
Yin, Hong-Ming [Partial Differential Equations] The general area of research is in partial differential equations arising in physical sciences and engineering fields. More specifically, problems in microwave heating are studied, the thermal effect on semiconductor and superconductor, and solid-liquid/solid-solid change processes.